75.49/19.09 YES 75.49/19.09 property Termination 75.49/19.09 has value True 75.49/19.09 for SRS ( [a, a] -> [a, b, c, c], [c, a] -> [], [c, b] -> [a, a]) 75.49/19.09 reason 75.49/19.09 remap for 3 rules 75.49/19.09 property Termination 75.49/19.09 has value True 75.49/19.10 for SRS ( [0, 0] -> [0, 1, 2, 2], [2, 0] -> [], [2, 1] -> [0, 0]) 75.49/19.10 reason 75.49/19.10 reverse each lhs and rhs 75.49/19.10 property Termination 75.49/19.10 has value True 75.49/19.10 for SRS ( [0, 0] -> [2, 2, 1, 0], [0, 2] -> [], [1, 2] -> [0, 0]) 75.49/19.10 reason 75.49/19.10 DP transform 75.49/19.10 property Termination 75.49/19.10 has value True 75.49/19.12 for SRS ( [0, 0] ->= [2, 2, 1, 0], [0, 2] ->= [], [1, 2] ->= [0, 0], [0#, 0] |-> [1#, 0], [1#, 2] |-> [0#, 0], [1#, 2] |-> [0#]) 75.49/19.12 reason 75.49/19.12 remap for 6 rules 75.49/19.12 property Termination 75.49/19.12 has value True 75.49/19.12 for SRS ( [0, 0] ->= [1, 1, 2, 0], [0, 1] ->= [], [2, 1] ->= [0, 0], [3, 0] |-> [4, 0], [4, 1] |-> [3, 0], [4, 1] |-> [3]) 75.49/19.12 reason 75.49/19.12 EDG has 1 SCCs 75.49/19.12 property Termination 75.49/19.12 has value True 75.49/19.12 for SRS ( [3, 0] |-> [4, 0], [4, 1] |-> [3], [4, 1] |-> [3, 0], [0, 0] ->= [1, 1, 2, 0], [0, 1] ->= [], [2, 1] ->= [0, 0]) 75.49/19.12 reason 75.49/19.12 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 75.49/19.12 interpretation 75.49/19.13 0 Wk / - 0A - 0A \ 75.49/19.13 | 0A 3A 3A 4A | 75.67/19.13 | 0A 3A 0A 2A | 75.67/19.13 \ - - - 0A / 75.67/19.14 1 Wk / - 0A 0A 0A \ 75.67/19.14 | 0A - - - | 75.67/19.14 | 0A - - - | 75.67/19.14 \ - - - 0A / 75.67/19.14 2 Wk / 3A - 0A 4A \ 75.67/19.14 | 6A - 3A 7A | 75.67/19.14 | 6A - 3A 7A | 75.67/19.14 \ - - - 0A / 75.67/19.14 3 Wk / 0A 1A - 4A \ 75.67/19.14 | - - - - | 75.67/19.14 | - - - - | 75.67/19.14 \ - - - 0A / 75.67/19.14 4 Wk / 4A - 1A 5A \ 75.67/19.14 | - - - - | 75.67/19.14 | - - - - | 75.67/19.14 \ - - - 0A / 75.67/19.14 [3, 0] |-> [4, 0] 75.76/19.16 lhs rhs ge gt 75.76/19.16 Wk / 1A 4A 4A 5A \ Wk / 1A 4A 1A 5A \ True False 75.76/19.16 | - - - - | | - - - - | 75.76/19.16 | - - - - | | - - - - | 75.76/19.16 \ - - - 0A / \ - - - 0A / 75.76/19.16 [4, 1] |-> [3] 75.76/19.17 lhs rhs ge gt 75.76/19.17 Wk / 1A 4A 4A 5A \ Wk / 0A 1A - 4A \ True True 75.76/19.17 | - - - - | | - - - - | 75.76/19.17 | - - - - | | - - - - | 75.76/19.17 \ - - - 0A / \ - - - 0A / 75.76/19.17 [4, 1] |-> [3, 0] 75.76/19.17 lhs rhs ge gt 75.76/19.17 Wk / 1A 4A 4A 5A \ Wk / 1A 4A 4A 5A \ True False 75.76/19.17 | - - - - | | - - - - | 75.76/19.17 | - - - - | | - - - - | 75.76/19.18 \ - - - 0A / \ - - - 0A / 75.76/19.18 [0, 0] ->= [1, 1, 2, 0] 75.76/19.18 lhs rhs ge gt 75.76/19.18 Wk / 0A 3A 3A 4A \ Wk / 0A 3A 0A 4A \ True False 75.76/19.18 | 3A 6A 6A 7A | | 3A 6A 3A 7A | 75.76/19.18 | 3A 6A 6A 7A | | 3A 6A 3A 7A | 75.76/19.18 \ - - - 0A / \ - - - 0A / 75.76/19.18 [0, 1] ->= [] 75.76/19.19 lhs rhs ge gt 75.76/19.19 Wk / 0A - - 0A \ Wk / 0A - - - \ True False 75.76/19.19 | 3A 0A 0A 4A | | - 0A - - | 75.76/19.19 | 3A 0A 0A 2A | | - - 0A - | 75.76/19.19 \ - - - 0A / \ - - - 0A / 75.76/19.19 [2, 1] ->= [0, 0] 75.76/19.19 lhs rhs ge gt 75.76/19.19 Wk / 0A 3A 3A 4A \ Wk / 0A 3A 3A 4A \ True False 75.76/19.19 | 3A 6A 6A 7A | | 3A 6A 6A 7A | 75.76/19.19 | 3A 6A 6A 7A | | 3A 6A 6A 7A | 75.76/19.19 \ - - - 0A / \ - - - 0A / 75.76/19.19 property Termination 75.76/19.19 has value True 75.76/19.20 for SRS ( [3, 0] |-> [4, 0], [4, 1] |-> [3, 0], [0, 0] ->= [1, 1, 2, 0], [0, 1] ->= [], [2, 1] ->= [0, 0]) 75.76/19.20 reason 75.76/19.20 EDG has 1 SCCs 75.76/19.20 property Termination 75.76/19.20 has value True 75.76/19.20 for SRS ( [3, 0] |-> [4, 0], [4, 1] |-> [3, 0], [0, 0] ->= [1, 1, 2, 0], [0, 1] ->= [], [2, 1] ->= [0, 0]) 75.76/19.20 reason 75.76/19.20 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 75.76/19.20 interpretation 75.76/19.20 0 Wk / - 0A - 2A \ 75.76/19.20 | - 2A 0A 5A | 75.76/19.20 | 0A 0A - - | 75.76/19.20 \ - - - 0A / 75.76/19.21 1 Wk / - 2A 0A 5A \ 75.76/19.21 | 0A - - 3A | 75.76/19.21 | - 0A 0A - | 75.76/19.21 \ - - - 0A / 75.76/19.21 2 Wk / 0A - - - \ 75.76/19.21 | 2A 0A - - | 75.76/19.21 | 2A - - 5A | 75.76/19.21 \ - - - 0A / 75.76/19.21 3 Wk / 2A - - - \ 75.76/19.21 | - - - - | 75.76/19.21 | - - - - | 75.76/19.21 \ - - - 0A / 75.76/19.21 4 Wk / 1A - - 4A \ 75.76/19.21 | - - - - | 75.76/19.21 | - - - - | 75.76/19.21 \ - - - 0A / 75.76/19.21 [3, 0] |-> [4, 0] 75.76/19.22 lhs rhs ge gt 75.76/19.22 Wk / - 2A - 4A \ Wk / - 1A - 4A \ True False 75.76/19.22 | - - - - | | - - - - | 75.76/19.22 | - - - - | | - - - - | 75.76/19.22 \ - - - 0A / \ - - - 0A / 75.76/19.22 [4, 1] |-> [3, 0] 75.76/19.22 lhs rhs ge gt 75.76/19.22 Wk / - 3A 1A 6A \ Wk / - 2A - 4A \ True True 75.76/19.22 | - - - - | | - - - - | 75.76/19.22 | - - - - | | - - - - | 75.76/19.22 \ - - - 0A / \ - - - 0A / 75.76/19.22 [0, 0] ->= [1, 1, 2, 0] 75.76/19.22 lhs rhs ge gt 75.76/19.22 Wk / - 2A 0A 5A \ Wk / - 2A 0A 5A \ True False 75.76/19.22 | 0A 4A 2A 7A | | - 4A 2A 7A | 75.76/19.22 | - 2A 0A 5A | | - 2A 0A 5A | 75.76/19.22 \ - - - 0A / \ - - - 0A / 75.76/19.22 [0, 1] ->= [] 75.76/19.22 lhs rhs ge gt 75.76/19.22 Wk / 0A - - 3A \ Wk / 0A - - - \ True False 75.76/19.22 | 2A 0A 0A 5A | | - 0A - - | 75.76/19.22 | 0A 2A 0A 5A | | - - 0A - | 75.76/19.22 \ - - - 0A / \ - - - 0A / 75.76/19.22 [2, 1] ->= [0, 0] 76.04/19.23 lhs rhs ge gt 76.04/19.23 Wk / - 2A 0A 5A \ Wk / - 2A 0A 5A \ True False 76.04/19.23 | 0A 4A 2A 7A | | 0A 4A 2A 7A | 76.04/19.23 | - 4A 2A 7A | | - 2A 0A 5A | 76.04/19.23 \ - - - 0A / \ - - - 0A / 76.04/19.23 property Termination 76.04/19.23 has value True 76.04/19.23 for SRS ( [3, 0] |-> [4, 0], [0, 0] ->= [1, 1, 2, 0], [0, 1] ->= [], [2, 1] ->= [0, 0]) 76.04/19.23 reason 76.04/19.23 weights 76.04/19.23 Map [(3, 1/1)] 76.04/19.23 76.04/19.23 property Termination 76.04/19.23 has value True 76.04/19.23 for SRS ( [0, 0] ->= [1, 1, 2, 0], [0, 1] ->= [], [2, 1] ->= [0, 0]) 76.04/19.23 reason 76.04/19.23 EDG has 0 SCCs 76.04/19.23 76.04/19.23 ************************************************** 76.04/19.23 summary 76.04/19.23 ************************************************** 76.04/19.23 SRS with 3 rules on 3 letters Remap { tracing = False} 76.04/19.23 SRS with 3 rules on 3 letters reverse each lhs and rhs 76.04/19.23 SRS with 3 rules on 3 letters DP transform 76.04/19.23 SRS with 6 rules on 5 letters Remap { tracing = False} 76.04/19.23 SRS with 6 rules on 5 letters EDG 76.04/19.23 SRS with 6 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 76.04/19.23 SRS with 5 rules on 5 letters EDG 76.04/19.23 SRS with 5 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 76.04/19.23 SRS with 4 rules on 5 letters weights 76.04/19.23 SRS with 3 rules on 3 letters EDG 76.04/19.23 76.04/19.23 ************************************************** 76.04/19.23 (3, 3)\Deepee(6, 5)\Matrix{\Arctic}{4}(5, 5)\Matrix{\Arctic}{4}(4, 5)\Weight(3, 3)\EDG[] 76.04/19.23 ************************************************** 76.04/19.25 let { done = Worker No_Strict_Rules;mo = Pre (Or_Else Count (IfSizeLeq 10000 GLPK Fail));wop = Or_Else (Worker (Weight { modus = mo})) Pass;weighted = \ m -> And_Then m wop;tiling = \ m w -> weighted (And_Then (Worker (Tiling { method = m,width = w})) (Worker Remap));when_small = \ m -> And_Then (Worker (SizeAtmost 100)) m;when_medium = \ m -> And_Then (Worker (SizeAtmost 10000)) m;solver = Minisatapi;qpi = \ dim bits -> weighted (when_small (Worker (QPI { tracing = True,dim = dim,bits = bits,solver = solver})));matrix = \ dom dim bits -> weighted (when_small (Worker (Matrix { monotone = Weak,domain = dom,dim = dim,bits = bits,tracing = False,solver = solver})));kbo = \ b -> weighted (when_small (Worker (KBO { bits = b,solver = solver})));mb = Worker (Matchbound { method = RFC,max_size = 100000});remove = First_Of ([ Worker (Weight { modus = mo})] <> ([ Seq [ qpi 2 4, qpi 3 4, qpi 4 4], Seq [ qpi 5 4, qpi 6 3, qpi 7 3]] <> ([ matrix Arctic 4 3, matrix Natural 4 3] <> [ kbo 1, And_Then (Worker Mirror) (kbo 1)])));remove_tile = Seq [ remove, tiling Overlap 3];dp = As_Transformer (Apply (And_Then (Worker (DP { tracing = False})) (Worker Remap)) (Apply wop (Branch (Worker (EDG { tracing = False})) remove_tile)));noh = [ Timeout 10 (Worker (Enumerate { closure = Forward})), Timeout 10 (Worker (Enumerate { closure = Backward}))];yeah = Tree_Search_Preemptive 0 done [ Worker (Weight { modus = mo}), mb, And_Then (Worker Mirror) mb, dp, And_Then (Worker Mirror) dp]} 76.04/19.25 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 76.37/19.41 EOF